Marius de Leeuw (Trinity College, Dublin)

Constrained Integrable Systems and Generalised Symmetries

In this talk, I will discuss a systematic study of integrable models for spin chains with constrained Hilbert spaces. A typical example of this is the Rydberg constraint which prohibits excited states on neighbouring sites. It turns out that such spin chains are related to Hilbert spaces that arise in spin chains with generalised symmetries. I will discuss how to set up the Yang-Baxter integrability framework for this case and how to classify models. I will give some new models that we found and discuss their properties